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Finding the Third Proportional to 6,876,776,568,620.80 and 14,719,576,826,300

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Solution

The third proportional to 6,876,776,568,620.80 and 14,719,576,826,300 is: 31,506,904,402,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876,776,568,620.80 : 14,719,576,826,300 = 14,719,576,826,300 : x
  2. Step 2: Convert to fraction form
    6,876,776,568,620.80/14,719,576,826,300 = 14,719,576,826,300/x
  3. Step 3: Cross multiply
    6,876,776,568,620.80x = 14,719,576,826,300 × 14,719,576,826,300
  4. Step 4: Simplify right side
    6,876,776,568,620.80x = 216,665,941,945,347,979,576,606,720
  5. Step 5: Solve for x
    x = 216,665,941,945,347,979,576,606,720/6,876,776,568,620.80
  6. Step 6: Final answer
    x = 31,506,904,402,566.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.